幾何
三角形、円、座標幾何、証明問題。
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$\\overline{bd}$ bisects $\\angle abc$ reason: given $d$ is the midpoin…
1. For $\boldsymbol{\angle ABD \cong \angle CBD}$: Reason is **Definition of Angle Bisector** 2. For $\boldsymbol{\overline{AD} \cong \overline{CD}}$: Reason is **Definition of Mi…
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given e is the midpoint of \\(\\overline{bd}\\), complete the flowchart…
1. For $\boldsymbol{\overline{BE} \cong \overline{ED}}$: Reason is **Definition of a Midpoint** 2. For $\boldsymbol{\overline{AE} \cong \overline{EC}}$: Reason is **Given (marked …
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select the correct answer. what is a counterexample to this claim? all …
D. a trapezoid
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given \\(\\overline{bc} \\parallel \\overline{ad}\\), complete the flow…
- $\angle BCA \cong \angle DAC$ Reason: Alternate Interior Angles Theorem - $\overline{AC} \cong \overline{AC}$ Reason: Reflexive Property of Congruence - $\triangle ABC \cong \tr…
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based on the given diagram, complete the flowchart proof below. ∠bac ≅ …
1. For $\overline{AB} \cong \overline{DC}$, Reason: Given (from diagram markings) 2. For $\triangle ABC \cong \triangle CDA$, Reason: Side-Angle-Side (SAS) Congruence Postulate
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determine if the two triangles are necessarily congruent. if so, fill i…
The triangles **are** necessarily congruent. Flowchart proof steps (logical order): 1. $\angle Z \cong \angle L$ (Given, marked angles) 2. $ZA \cong KL$ (Given, marked sides) 3. $…
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determine if the two triangles are necessarily congruent. if so, fill i…
The triangles are **not** necessarily congruent.
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Question was provided via image upload.
(a) diameter (b) radius
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determine if the two triangles are necessarily congruent. if so, fill i…
The triangles **are** necessarily congruent. Flowchart proof steps (in order): 1. Given: $\angle Z \cong \angle L$ 2. Given: $\overline{ZY} \cong \overline{ML}$ 3. Given: $\angle …
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determine the longest side of \\( \\triangle abc \\). the figure is not…
$\overline{AC}$
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in this triangle, which angle is the largest? triangle with vertices a,…
\( \angle B \) (the option with \( \angle B \))
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brian cut 3 wooden sticks to use as the sides of a triangle. which list…
3ft, 4ft, 5ft
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if uv = 21 and ux = 13, what is uw? write your answer as a whole number…
$33.92$
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20) vertex at origin, opens right, \\frac{1}{8} units between the verte…
\(y^2 = \frac{1}{2}x\) ### Problem 22:
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16) opens up or down, and passes through (11, 15), (7, 7), and (4, 22)
To determine the quadratic function \( y = ax^2 + bx + c \) that opens up or down and passes through the points \((11, 15)\), \((7, 7)\), and \((4, 22)\), we can set up a system o…
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if the _________________________ of one triangle are congruent to the _…
## Fill-in-the-blank statement: If the **three sides** of one triangle are congruent to the **three corresponding sides** of another triangle, then the two triangles are congruent…
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instructions solve the following problem and select your answer from th…
6
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line jl and line km intersect at point h. find the three unknown angle …
They have the same measure.
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which terms describe this shape? choose all that apply. shape image squ…
quadrilateral, rhombus
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6. directions first, select the line a button to graph the line and cho…
1. Plot the solid line through points $(0, 6)$ and $(9, 0)$. 2. Shade the region below this solid line.
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6 25 inches 14 inches 19 inches 28 inches
The area of the triangle is 196 square inches.
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these figures are congruent. what is kl? □ feet submit
71 feet
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write the equation of the line.
$x = -400$
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practice problems to decompose a quadrilateral into two identical shape…
I agree. When a quadrilateral is decomposed into two shapes by a line (the dashed line here), the two shapes each take up half of the original quadrilateral's area, so their areas…
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write the equation of the line.
$y=20$
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look at this graph: graph with x and y axes, grid, and a vertical line …
$x=200$
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look at this graph: graph of a vertical line at x=60 write the equation…
$x=60$
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find ( mangle krl ). ( mangle krl = square^circ )
$34$
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find $m\\angle tqw$. $m\\angle tqw = \\square^\\circ$ (there is a diagr…
$46$
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find $m\\angle bfc$. $m\\angle bfc = \\square^\\circ$
$62^\circ$
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which angle has a measure of 46°? ∠pwq ∠qwr ∠rws ∠swt vertical angles h…
$\angle RWS$
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which angle has a measure of 46°? ∠pwq ∠qwr ∠rws ∠swt
$\angle SWT$
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name the two pairs of vertical angles in the figure. ∠1 and ∠3 ∠2 and ∠…
$m\angle2 = 76^\circ$ $m\angle3 = 104^\circ$ $m\angle4 = 76^\circ$
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question fill in the parts - whole model for the following equation. $2…
\(4z\)
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name the two pairs of vertical angles in the figure. ∠1 and ? ∠2 and ∠2…
$\angle 1$ and $\angle 3$ $\angle 2$ and $\angle 4$
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line jl and line km intersect at point h. find the three unknown angle …
$m\angle MHJ = 129^\circ$
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plot \\(\\sqrt{68}\\) on the decimal number line as accurately as possi…
$\sqrt{68} \approx 8.25$, so it should be plotted 2.5 small intervals to the right of 8 on the given number line (between the 2nd and 3rd tick marks after 8, closer to the 2nd mar…
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question a triangle has side lengths of (3q + 1) centimeters, (5q - 3) …
\(8q - 11 + r\) (corresponding to the option " \(8q-11 + r\) ")
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line jl and line km intersect at point h. find the three unknown angle …
$m\angle LHM = 51^\circ$, $m\angle JHM = 129^\circ$ (the third unknown angle, vertical to $\angle KHL$)
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line jl and line km intersect at point h. find the three unknown angle …
$129^\circ$
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the width of a rectangle measures (10p - 9q) centimeters, and its lengt…
\( -2q + 34p \) (or the option corresponding to \( 34p - 2q \))
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find $m\\angle vyw$. $m\\angle vyw = \\square^{\\circ}$ image of angle …
$59^\circ$
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1) rotation 180° counterclockwise around the origin 2) translation 14 u…
The final coordinates of the transformed triangle are: $(18, 4)$, $(12, 4)$, $(15, -2)$ To graph this, plot these three points and connect them to form the image triangle.
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question the width of a rectangle measures (4s + 5) centimeters, and it…
\( 12s - 10 \) (the option with text "12s - 10")
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m∠3 = 82°. find m∠4. m∠4 = \\square° (there is a diagram of two interse…
$98$
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plot \\(\\sqrt{46}\\) on the decimal number line as accurately as possi…
Plot the point **0.78 units to the right of 6** (between the 7th and 8th small tick marks after 6, closer to the 8th mark) on the given number line.
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calculate the area and perimeter of the following shape: (round to one …
# Explanation: ## Step1: Calculate the Perimeter The perimeter of a composite shape can be found by adding the lengths of all outer sides. For this shape, we can also use the prop…
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how are ∠1 and ∠2 related? complete the equation. m∠1 + m∠2 = \\boxed{}…
$90$
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graph the function using transformations. g(x)=-\frac{1}{3}|x| each gri…
C. The grid where the pink graph is a vertical compression by a factor of $\frac{1}{3}$ and reflection over the x-axis of the blue $f(x)=|x|$ graph
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find the area of the parallelogram. 3 yd 9 yd a = b·h = □·9 = □ yd²
27 yd²
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which of the following transformations will, when applied to any polygo…
reflection across the line $y = -x + 7$ followed by translation 8 units to the left and 2 units up
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a reflection across \\(\\overline{qr}\\) followed by a rotation \\(180^…
- The position of point Q is the same as the position of point Q'. - $\triangle QRS \cong \triangle Q'R'S'$ - $\overline{Q'R'} \cong \overline{R'S'} \cong \overline{S'Q'}$
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lottie needs to put gypsy moth caterpillar tape around the circumferenc…
7.85 feet (or approximately \( 2.5\pi \) feet if we leave it in terms of \( \pi \))
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the browns are putting a rock border around the circumference of their …
They need approximately \( 62.8 \) feet of rock (or \( 20\pi \) feet if we leave it in terms of \( \pi \)).
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if the diameter of a circle is 5 kilometers, what is the circumference?
The circumference of the circle is \( 5\pi \) kilometers (or approximately \( 15.7 \) kilometers).
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determine a series of transformations that would map figure q onto figu…
示例：先将Figure Q绕原点顺时针旋转90°，然后向下平移12个单位（具体平移量需根据顶点坐标精确计算，此处为常见步骤）。 （注：因图中坐标网格细节，更精确的话，需取顶点坐标。如Figure Q的一个顶点(2,7)，旋转后(7,-2)，再平移到(1,-11)左右，需向下平移9个单位？可能之前估算有误。实际应先确定旋转中心和角度，再平移。正确步骤需结合坐…
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solve for x to the nearest tenth. (image of a geometric figure with sid…
\( x \approx 14.4 \)
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point t is located at (-1, 1) on the coordinate plane. point t is refle…
\(T'(1,1)\)
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complete the following sentence. the figure below has rotational symmet…
\( 72 \)
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point m is located at (-4, 4) on the coordinate plane. point m is refle…
\(M''(4,-4)\)
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the triangle on the right is a scaled copy of the triangle on the left.…
$\frac{1}{2}$
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the rectangle on the right is a scaled copy of the rectangle on the lef…
\(\frac{9}{8}\)
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which terms describe this shape? choose all that apply. kite rhombus pa…
A. kite, B. rhombus, C. parallelogram, D. quadrilateral (assuming the options are labeled as such with these terms)
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a triangle with side lengths 17, 10, 21 and height 8 (with a right angl…
$84$ square feet
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6. $\\triangle rst \\sim \\triangle ysz$; find $yz$ (image of triangle …
\(YZ = 28\)
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use a trigonometric ratio to solve for a. round to two decimal places a…
$34.56$
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use a trigonometric ratio to solve for x. round to two decimal places a…
$x \approx 9.24$
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use a trigonometric ratio to solve for c. round to two decimal places a…
17.24
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use a trigonometric ratio to solve for d. round to two decimal places a…
$34.89$
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5. a parallelogram with base 12 inches, height 26 inches, and side leng…
312 square inches
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use a trigonometric ratio to solve for a. round to two decimal places a…
$16.29$
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find the measure of angle a in degrees. round to two decimal places as …
$54.46^\circ$
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use a trigonometric ratio to solve for d. round to two decimal places a…
$20.24$
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find the measure of angle y in degrees. round to two decimal places as …
$66.42^\circ$
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use a trigonometric ratio to solve for c. round to two decimal places a…
$18.86$
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practice period date example 1 practice • spiral review • extra practic…
1. $\triangle TRS \sim \triangle XWS$ (SAS Similarity, vertical angle + congruent sides) 2. $\triangle ABC \sim \triangle QPR$ (SSS Similarity, all sides in $\frac{4}{3}$ ratio) 3…
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use a trigonometric ratio to solve for z. round to two decimal places a…
$10.17$
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12. directions first, select the line a button to graph the line and ch…
1. Set Line Type to **Dashed** (not solid). 2. Graph the dashed line through intercepts $(6, 0)$ and $(0, -2)$. 3. Shade the region above this dashed line to represent the solutio…
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the length of a rectangle is twice its width. if the perimeter of the r…
length: 12 m width: 6 m
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which point is a reflection of point p in the mirror line marked m? ima…
A. Point A
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which point is a reflection of point p in the mirror line marked m? ima…
B
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triangle qrs is dilated according to the rule $d_{0,2}(x,y)$. what is t…
- \( D_{O,2}(x,y)=(2x,2y) \) - The distance from \( Q' \) to the origin is twice the distance from \( Q \) to the origin. - Side \( Q'S' \) lies on a line with a slope of - 1. (If…
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consider the system of equations.\\begin{cases}x^{2}+y^{2}=49\\\\x=-y -…
The solutions are the points \((-7, 0)\) and \((0, -7)\). To graph the line \( x = -y - 7 \) (or \( y = -x - 7 \)): find two points (e.g., when \( x = 0 \), \( y = -7 \); when \( …
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below are two parallel lines with a third line intersecting them. x = \…
\(x = 92\)
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the point where two lines intersect on a graph is called the ______. th…
intersection point ### 2. The form of a linear equation written as \( y = mx + b \) is known as... form.
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the point where two lines meet or cross is called the ________. when th…
intersection point ### Second Question:
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12 8a - 4b + 7 = 6c explain why a, b and c cannot all be integers. 13 i…
Since \(8a-4b\) is even (as \(8a\) and \(4b\) are even, and even - even = even), \(8a - 4b+7\) is odd (even + odd = odd). But \(6c\) is even (as \(6c = 2\times3c\)). An odd number…
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in the diagram, $overline{kg}$, $overline{jf}$, $overline{ae}$ and $ove…
- $\overrightarrow{AE}$ is perpendicular to the horizontal line through $A$, creating a $90^\circ$ right angle. - The angles $\angle JAK$, $\angle KAE$, and the right angle $\angl…
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in the diagram, \\( \\overleftrightarrow{kj} \\), \\( \\overleftrightar…
- Vertical angles: $\angle EAK \cong \angle JAH$ - Complementary angles: $\angle JAH + \angle HAG = 90^\circ$, $\angle EAK + \angle KAJ = 90^\circ$ - Supplementary angles: $\angle…
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a water sprinkler sprays water over a distance of 30 feet while rotatin…
1021.02
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find the length s and area a. (there is a circle with a sector, radius …
$s = 2.094$ feet $A = 2.094$ square feet
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find the area a of the sector of a circle of radius 60 miles formed by …
300 miles²
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find the central angle θ which subtends an arc of length 18 inches of a…
$\frac{3}{7}$ radians (or approximately 0.429 radians)
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below are two parallel lines with a third line intersecting them. x = \…
$58$
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the pythagorean theorem (coloring activity) name: date: per: directions…
The missing side (hypotenuse) is approximately \(\boldsymbol{15.8}\) meters, corresponding to Dark Blue in the coloring activity.
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graph the image of trapezoid stuv after a dilation with a scale factor …
To graph the image of trapezoid \( STUV \) after a dilation with a scale factor of 3 centered at the origin: 1. **Find the original coordinates of the vertices**: - \( S(-3,-3) \)…
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for problems 18-26, solve and graph each inequality. 18. $-3(x + 6) < -…
\(x > 1\) (Graph: Open circle at 1, arrow to the right) ### Problem 19: Solve \(60 < 6(x + 8)\)
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2. write out the steps of your snowflake algorithm below. you may skip …
1. **Step 1: Define base shape** Start with an equilateral triangle (each side is a straight line segment of length $L$). 2. **Step 2: Segment division** For every straight line s…
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△ear is rotated 180° about the origin. draw the image of this rotation.
The image $\triangle E'A'R'$ has vertices at $E'(5, 6)$, $A'(5, -4)$, and $R'(2, -2)$. When plotted and connected on the coordinate grid, this forms the 180° rotation of $\triangl…
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pentagon abcde is the image of pentagon abcde under a dilation with a s…
2 units